A Monotonicity Property of h-vectors and h*-vectors
โ Scribed by Richard P. Stanley
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 259 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
For coprime truncation sets M, N โ N, we establish an isomorphism of functors W N โข
A new detinition of an h-vector for cubical polytopes (and complexes) is introduced It has many properties in common with the well-known h-vector for simplicial polytopes. In particular, it is symmetric, nonnegative and easily computable from a shelling of the polytope. Lower or upper bounds on its
Several important simplicial complexes including matroid complexes and broken circuit complexes are known to be shellable. We show that the lexicographic order of the bases of a matroid can be reversed to obtain a shelling. We prove that the h-vectors of such reversibly shellable complexes of rank d